Precise variational calculation of some S-states of Coulomb three-body systems with two identical particles
نویسنده
چکیده
A generalized Hylleraas basis set with two nonlinear parameters is used to study three-body systems with two equal masses interacting via coulomb forces within the framework of non-relativistic quantum mechanics. Accurate variational bounds for the ground state of some of these systems are obtained improving the rate of convergence of the calculation with respect to an usual Hylleraas basis set. A study of the interparticle densities is also carried out. PACS. 36.10.Dr Positronium, muonium, muonic atoms and molecules – 31.10.+z Theory of electronic structure, electronic transitions, and chemical binding
منابع مشابه
Variational calculation of some S-states of Coulomb three-body systems
A generalized Hylleraas-type basis set with three nonlinear parameters is proposed to study three-body systems interacting via coulomb forces within the framework of non-relativistic quantum mechanics. This basis set improves the rate of convergence with respect to previous ones, specially for nonsymmetric systems and excited states of two electron atoms. Accurate binding energies and other pro...
متن کاملExponential Basis in Two - Sided Variational Estimates of Energy for Three - Body Systems
By the use of the variational method with exponential trial functions the upper and lower bounds of energy are calculated for a number of non-relativistic three-body Coulomb and nuclear systems. The formulas for calculation of upper and lower bounds for exponential basis are given, the lower bounds for great part of systems were calculated for the first time. By comparison of calculations for d...
متن کاملNew representation of orbital motion with arbitrary angular momenta
A new formulation is presented for a variational calculation of N-body systems on a correlated Gaussian basis with arbitrary angular momenta. The rotational motion of the system is described with a single spherical harmonic of the total angular momentum L, and thereby needs no explicit coupling of partial waves between particles. A simple generating function for the correlated Gaussian is explo...
متن کاملCoulomb-Sturmian separable expansion approach: Three-body Faddeev calculations for Coulomb-like interactions.
We demonstrate the feasibility and efficiency of the Coulomb-Sturmian separable expansion method for generating accurate solutions of the Faddeev equations. Results obtained with this method are reported for several benchmark cases of bosonic and fermionic three-body systems. Correct bound-state results in agreement with the ones established in the literature are achieved for short-range intera...
متن کاملVariational separable expansion scheme for two-body Coulomb-scattering problems
We present a separable expansion approximation method for Coulomblike potentials which is based on Schwinger variational principle and uses Coulomb-Sturmian functions as basis states. The new scheme provides faster convergence with respect to our formerly used non-variational approach. Both variational approaches and separable expansion schemes are extensively used in solving few-body problems....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998